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221423314300 = 225229374634457
BaseRepresentation
bin1100111000110111011…
…0111010010101111100
3210011112101000210220121
43032031312322111330
512111433332024200
6245415342024324
721666035055166
oct3161566722574
9704471023817
10221423314300
11859a5763331
1236ab62780a4
1317b59849406
14aa07427936
155b5e13ce1a
hex338ddba57c

221423314300 has 144 divisors (see below), whose sum is σ = 511708498560. Its totient is φ = 83005655040.

The previous prime is 221423314279. The next prime is 221423314319. The reversal of 221423314300 is 3413324122.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 49677672 + ... + 49682128.

It is an arithmetic number, because the mean of its divisors is an integer number (3553531240).

Almost surely, 2221423314300 is an apocalyptic number.

221423314300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221423314300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255854249280).

221423314300 is an abundant number, since it is smaller than the sum of its proper divisors (290285184260).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

221423314300 is a wasteful number, since it uses less digits than its factorization.

221423314300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5000 (or 4993 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 25.

Adding to 221423314300 its reverse (3413324122), we get a palindrome (224836638422).

The spelling of 221423314300 in words is "two hundred twenty-one billion, four hundred twenty-three million, three hundred fourteen thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 29 37 50 58 74 100 116 145 148 185 290 370 463 580 725 740 925 926 1073 1450 1850 1852 2146 2315 2900 3700 4292 4457 4630 5365 8914 9260 10730 11575 13427 17131 17828 21460 22285 23150 26825 26854 34262 44570 46300 53650 53708 67135 68524 85655 89140 107300 111425 129253 134270 164909 171310 222850 258506 268540 329818 335675 342620 428275 445700 496799 517012 646265 659636 671350 824545 856550 993598 1292530 1342700 1649090 1713100 1987196 2063591 2483995 2585060 3231325 3298180 4122725 4127182 4782361 4967990 6462650 8245450 8254364 9564722 9935980 10317955 12419975 12925300 16490900 19129444 20635910 23911805 24839950 41271820 47823610 49679900 51589775 59844139 76352867 95647220 103179550 119559025 119688278 152705734 206359100 239118050 239376556 299220695 305411468 381764335 478236100 598441390 763528670 1196882780 1496103475 1527057340 1908821675 2214233143 2992206950 3817643350 4428466286 5984413900 7635286700 8856932572 11071165715 22142331430 44284662860 55355828575 110711657150 221423314300